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djyliett [7]
3 years ago
8

Evaluate 2(x - 4) + 3x - x2 for x = 2. O A. -6 O B. -2 O C. 6 O D. 2

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

B. -2

Step-by-step explanation:

2(x - 4) + 3x - x2

2(2 - 4) + 3(2) - (2)2

2(-2) + 6 - 4

-4 + 6 - 4

-8 + 6

-2

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A number is added to 13. The result is then multiplied by 2 to give a new result of 52. What is the number ?
Andreyy89

Hi, so I first I divided 52 by 2 and ended up with 26. 26-13 is 13.

The answer is 13

Check my work 13+13 =26

26 times 2 is 52

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3 years ago
Let X be the mean of a random sample of size n = 64 from the uniform distribution on the interval (0, 3), i.e. f(x) = ( 1 3 , 0
allochka39001 [22]

Answer:

P ( 1.2 < X < 2.1 ) = 0.3

Step-by-step explanation:

Given:

Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)

f(x) = 1 / (b - a)

Where a < x < b is the domain at which function is defined:

f(x) = 1 / (3) = 1 / 3

Where, X - U ( u , δ )

u = ( a + b ) / 2 = (0 +3) / 2 = 1.5

δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866

Hence,

X - U ( 1.5 , 0.866 )

There-fore calculating P ( 1.2 < X < 2.1 ):

P ( 1.2 < X < 2.1 ) = \int\limits^b_a{f(x)} \, dx

Where, a = 1.2 and b = 2.1

P ( 1.2 < X < 2.1 ) = x / 3 |

P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3

Answer: P ( 1.2 < X < 2.1 ) = 0.3

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3 years ago
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An arc on a circle measures 250 degrees. Within range which range is the radian measure of the central angle?
blondinia [14]

If the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.

Given that the arc of a circle measures 250 degrees.

We are required to find the range of the central angle.

Range of a variable exhibits the lower value and highest value in which the value of particular variable exists. It can be find of a function.

We have 250 degrees which belongs to the third quadrant.

If 2π=360

x=250

x=250*2π/360

=1.39 π radians

Then the radian measure of the central angle is 1.39π radians.

Hence if the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.

Learn more about range at brainly.com/question/26098895

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